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Question

The root(s) of the equation (2x - 3) = 2x22x+21are:


A

4, -2

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B

6, -1

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C

6

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D

-1

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Solution

The correct option is C

6


On squaring both sides of the equation, we get

4x2 -12x + 9 = 2x2 - 2x + 21

that gives, 2x2 - 10x - 12 = 0

on solving, we get x = -1 or 6.

But x = -1 does not satisfy the equation. So the valid root of the equation is x = 6.


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